Details

analyze2.0s (22%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample99.0ms (1.1%)

Algorithm

1×

intervals

Results

33.0ms	412×	body	80	invalid
20.0ms	256×	body	80	valid

simplify384.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (381.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune15.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.1b

Counts

2 → 1

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c t) (.f64 i y))
4.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.9b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.1b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
7×	`sub-neg_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64`

Counts

4 → 77

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.0ms	(-.f64 (.f64 c t) (.f64 i y))

series83.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
23.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
23.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
12.0ms	(-.f64 (.f64 c t) (.f64 i y))

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4926	937
1	4926	937

prune255.0ms (2.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	67	22	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	22	90

Merged error: 8.9b

Counts

90 → 22

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.1b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

series152.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
43.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
42.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
23.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4954	897
1	4954	897

prune222.0ms (2.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	72	23	95

Merged error: 8.9b

Counts

95 → 23

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.1b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

series155.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
44.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
42.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
24.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4954	897
1	4954	897

prune233.0ms (2.5%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	22	22
Picked	0	1	1
Done	0	0	0
Total	71	25	96

Merged error: 8.9b

Counts

96 → 25

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.9b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.9b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
6.9b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
6.9b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

series155.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
44.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
42.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
23.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4981	897
1	4981	897

prune88.0ms (1%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	23	23
Picked	1	0	1
Done	0	1	1
Total	70	28	98

Merged error: 8.9b

Counts

98 → 28

regimes2.4s (25.6%)

Accuracy

Total 3.4b remaining (28.8%)

Threshold costs 0b (0%)

bsearch103.0ms (1.1%)

Steps

Iters	Range		Point
8	1.714810582894924e-232	1.4676860740756743e-228	9.006227616143212e-231
9	-1.4455192628481394e-239	-1.0369455318587249e-246	-1.2994040449216765e-243

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	684	112
1	684	112

end0.0ms (0%)

sample2.5s (27.4%)

Algorithm

1×

intervals

Results

905.0ms	10831×	body	80	invalid
688.0ms	8000×	body	80	valid

Details

analyze2.0s (22%)

sample99.0ms (1.1%)

simplify384.0ms (4.1%)

prune15.0ms (0.2%)

localize20.0ms (0.2%)

rewrite27.0ms (0.3%)

series83.0ms (0.9%)

simplify49.0ms (0.5%)

prune255.0ms (2.7%)

localize24.0ms (0.3%)

rewrite21.0ms (0.2%)

series152.0ms (1.6%)

simplify42.0ms (0.5%)

prune222.0ms (2.4%)

localize24.0ms (0.3%)

rewrite21.0ms (0.2%)

series155.0ms (1.7%)

simplify44.0ms (0.5%)

prune233.0ms (2.5%)

localize25.0ms (0.3%)

rewrite21.0ms (0.2%)

series155.0ms (1.7%)

simplify43.0ms (0.5%)

prune88.0ms (1%)

regimes2.4s (25.6%)

bsearch103.0ms (1.1%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample2.5s (27.4%)

Profiling